On the number line above, p, q, r, s, and t are five consec : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 Feb 2017, 00:53

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On the number line above, p, q, r, s, and t are five consec

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2431 [0], given: 0

On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

07 Dec 2012, 07:30
12
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

76% (02:16) correct 24% (01:20) wrong based on 799 sessions

### HideShow timer Statistics

Attachment:

Number line.png [ 2.33 KiB | Viewed 12430 times ]
On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

(1) q + s =24
(2) The average (arithmetic mean) of q and r is 11.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 37090
Followers: 7244

Kudos [?]: 96377 [0], given: 10738

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

07 Dec 2012, 07:37
Expert's post
4
This post was
BOOKMARKED

On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

{p, q, r, s, t} is an evenly spaced set thus its mean = median = middle term = r.

(1) q + s =24. Since q, r and s are consecutive even integers, then q=r-2 and s=r+2 --> (r-2)+(r+2)=24 --> r=12. Sufficient.

(2) The average (arithmetic mean) of q and r is 11. (r-2)+r=2*11 --> r=12. Sufficient.

_________________
Intern
Joined: 12 Nov 2012
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

10 Dec 2012, 07:26
which is the level of the question? 500? tks a lot
Math Expert
Joined: 02 Sep 2009
Posts: 37090
Followers: 7244

Kudos [?]: 96377 [0], given: 10738

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

10 Dec 2012, 07:42
fabrizio1983 wrote:
which is the level of the question? 500? tks a lot

I'd say it's ~600.

P.S. You can see the difficulty level of a question in the first post where the tags are (TAGS: Difficulty: 600-700 Level).
_________________
Intern
Joined: 24 Apr 2012
Posts: 48
Followers: 0

Kudos [?]: 22 [0], given: 1

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

11 Dec 2012, 03:54
Attachment:
Number line.png
On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

(1) q + s =24
(2) The average (arithmetic mean) of q and r is 11.

Ans. : Let p=x, q=x+2, r=x+4 , s=x+6, t=x+8 to find the mean we need to find x.
From statement 1 , we get 2x+8=24
From statement 2 we get x+3=11
_________________

www.mnemoniceducation.com

Intern
Joined: 06 Dec 2012
Posts: 6
Followers: 0

Kudos [?]: 2 [0], given: 5

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

16 Dec 2012, 12:38
My understanding of consecutive integers, is that they are separated by only 1, i.e. 3, 4, 5, 6, 7, 8

I was able to find the first statement sufficient, but not the second, mainly because the answer uses the formula p + (p+2) +....

Why is 2 being added to P?
Math Expert
Joined: 02 Sep 2009
Posts: 37090
Followers: 7244

Kudos [?]: 96377 [0], given: 10738

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

16 Dec 2012, 22:41
My understanding of consecutive integers, is that they are separated by only 1, i.e. 3, 4, 5, 6, 7, 8

I was able to find the first statement sufficient, but not the second, mainly because the answer uses the formula p + (p+2) +....

Why is 2 being added to P?

We are not told that p, q, r, s, and t are consecutive integers. We are given that p, q, r, s, and t are five consecutive EVEN integers. For example 2, 4, 6, 8, 10.
_________________
Manager
Joined: 04 Oct 2013
Posts: 180
GMAT 1: 590 Q40 V30
GMAT 2: 730 Q49 V40
WE: Project Management (Entertainment and Sports)
Followers: 6

Kudos [?]: 129 [0], given: 29

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

11 Jan 2014, 09:17
They are basically giving us some equation in disguise.

1. q+s=24 but for a fact set we know that the leap between q and s is 4 and this translates into an equation that subtracted gives us the value of q from which we can calculate the average.
2. q+r=22 same old story, the leap between q and r this time is 2 units. r-q=2 subtract it from the given equation and you are done you got one value, the remaining values follow logically.

D.
_________________

learn the rules of the game, then play better than anyone else.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13926
Followers: 589

Kudos [?]: 167 [0], given: 0

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

24 Feb 2015, 11:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 8548
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 396

Kudos [?]: 2562 [1] , given: 166

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

24 Feb 2015, 21:38
1
KUDOS
Expert's post
Hi All,

This DS question is full of Number Properties and the math involved is fairly straight-forward. However, if you don't see the "elegant" approach to answer this question, then you can still use "brute force" and some basic Arithmetic to get the correct answer.

We're given a number line with 5 variables on it. We're told that the variables represent 5 CONSECUTIVE EVEN INTEGERS. That's a very specific set of "restrictions", so you can use them to your advantage if you have to "play around" with this question. We're asked for the AVERAGE of the 5 integers. Since we know that they're consecutive evens, if we can figure out ANY of them, then we can figure out the others AND answer the question.

Fact 1: Q + S = 24

Looking at the drawing, we know that Q, R and S are 3 CONSECUTIVE EVEN INTEGERS, so even if we don't know how to do the Algebra here, we can still run some TESTs....

IF Q, R and S are....
2, 4 and 6, then Q+S = 8. That's too small though (it's supposed to be 24)

IF Q, R and S are a bit bigger, say....
8, 10 and 12, then Q + S = 20. This is still too small, but it's getting closer to 24...

IF Q, R and S are....
10, 12 and 14, then Q + S = 24. This is a MATCH for what we're looking for. We can also figure out the missing values (they're 8 and 16).

By making these variables larger or smaller, the sum of Q+S won't = 24, so we know that the 10/12/14 example is the ONLY possibility that fits.
Fact 1 is SUFFICIENT.

Fact 2: The average of Q and R is 11

Since Q and R are 2 CONSECUTIVE EVEN INTEGERS, we're going to need 2 numbers that are close to 11....

IF Q and R are....
8 and 10, then the average is 9 (which is not a match; it's supposed to be 11)

IF Q and R are...
10 and 12, then the average is 11. This is a MATCH.

Making Q and R any bigger will raise the average (and it won't match), so we know that 10 and 12 are the ONLY possible values that fit. The other numbers would be 8, 14 and 16.
Fact 2 is SUFFICIENT.

[Reveal] Spoiler:
D

GMAT assassins aren't born, they're made,
Rich
_________________

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13926
Followers: 589

Kudos [?]: 167 [0], given: 0

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

11 May 2016, 04:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Director
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 613
Location: United States (CA)
Followers: 23

Kudos [?]: 254 [0], given: 2

Re: On the number line above, p, q, r, s, and t are five consec [#permalink]

### Show Tags

14 May 2016, 04:56
Attachment:
Number line.png
On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

(1) q + s =24
(2) The average (arithmetic mean) of q and r is 11.

Solution:

Let’s begin by sketching the number line.

We need to determine whether r is closest to zero.

Statement One Alone:

q = -s

Since q = -s, q and s are opposites. For example, q = 2 and s = -2, or, q = -3 and s = 3. However, since q is to the left of s, q must be negative and s must be positive. Because q and s are opposites, zero must be exactly halfway between q and s. Since variable r is also between q and s we know that r is closer to zero than any other variable on our number line.

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and D.

Statement Two Alone:

-t < q

Since statement two is comparing the possible values of –t and q with an inequality, we do not have any significant information that will allow us to determine an exact location of zero on the number line. For example, if q = 1, r = 2, s = 3 and t = 4, then q is closer to 0 than r is. If q = -1, r = 0, s = 1, and t = 2, then r is closest to 0 since r itself is 0. Since we can have two contradictory scenarios, statement two does not provide enough information to answer the question.

_________________

Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: On the number line above, p, q, r, s, and t are five consec   [#permalink] 14 May 2016, 04:56
Similar topics Replies Last post
Similar
Topics:
1 If M is a set of five numbers p, q, r, s, and t, is the range of numbe 2 30 Aug 2016, 04:25
In the triangle above, which is greatest, p, q, or r? 1 07 Feb 2016, 09:44
P, Q, R and S are points on the number line in that order. 1 18 Jun 2015, 07:51
3 If P, Q, and R are points on the number line, what is the di 5 09 Nov 2013, 08:42
If P, Q, R are positive numbers such that R = 100P + 20Q 5 13 May 2012, 07:11
Display posts from previous: Sort by